On a Dual to the Properties of Hurwitz Polynomials I

G. Vergara-Hermosilla
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引用次数: 2

Abstract

In this work we develop necessary and sufficient conditions for describing the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla et al. in [1]. Specifically, we studied a dual version of the Theorem of Routh-Hurwitz and present explicit criteria for polynomials of low order and derivatives. Another contribution of this work is establishing a dual version of the Hermite-Biehler Theorem. To this aim, we give extensions of the boundary crossing Theorems and a zero exclusion principle for anti-Hurwitz polynomials.
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关于Hurwitz多项式性质的对偶1
在这项工作中,我们开发了描述由Vergara-Hermosilla等人在b[1]中引入的反hurwitz多项式族的充分必要条件。具体来说,我们研究了劳斯-赫维茨定理的对偶版本,并给出了低阶多项式和导数的明确准则。这项工作的另一个贡献是建立了赫米特-比勒定理的对偶版本。为此,我们给出了越界定理的推广,并给出了反hurwitz多项式的零不相容原理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
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